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413040122010 = 232519397608423
BaseRepresentation
bin1100000001010110001…
…11000001100010011010
31110111010110212012111200
412000223013001202122
523231401232401020
6513425323135030
741561343052305
oct6005307014232
91414113765450
10413040122010
1114a19542103a
1268072374476
132cc4611a279
1415dc3db3b3c
15ab26623590
hex602b1c189a

413040122010 has 96 divisors (see below), whose sum is σ = 1133274879360. Its totient is φ = 104083968384.

The previous prime is 413040122003. The next prime is 413040122023. The reversal of 413040122010 is 10221040314.

413040122010 is a `hidden beast` number, since 4 + 1 + 30 + 401 + 220 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374659 + ... + 983081.

It is an arithmetic number, because the mean of its divisors is an integer number (11804946660).

Almost surely, 2413040122010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413040122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566637439680).

413040122010 is an abundant number, since it is smaller than the sum of its proper divisors (720234757350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413040122010 is a wasteful number, since it uses less digits than its factorization.

413040122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608852 (or 608849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 413040122010 its reverse (10221040314), we get a palindrome (423261162324).

The spelling of 413040122010 in words is "four hundred thirteen billion, forty million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 397 570 794 855 1191 1710 1985 2382 3573 3970 5955 7146 7543 11910 15086 17865 22629 35730 37715 45258 67887 75430 113145 135774 226290 339435 608423 678870 1216846 1825269 3042115 3650538 5475807 6084230 9126345 10951614 11560037 18252690 23120074 27379035 34680111 54758070 57800185 69360222 104040333 115600370 173400555 208080666 241543931 346801110 483087862 520201665 724631793 1040403330 1207719655 1449263586 2173895379 2415439310 3623158965 4347790758 4589334689 7246317930 9178669378 10869476895 13768004067 21738953790 22946673445 27536008134 41304012201 45893346890 68840020335 82608024402 137680040670 206520061005 413040122010